LCM of 969, 975, 990, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 975, 990, 684 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 969, 975, 990, 684. So, keep reading to learn more.
Given numbers are 969,975,990,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,975,990,684 is 41570100.
Find LCM of 969,975,990,684 with Prime Factorization
| 2 | 969, 975, 990, 684 |
| 3 | 969, 975, 495, 342 |
| 3 | 323, 325, 165, 114 |
| 5 | 323, 325, 55, 38 |
| 19 | 323, 65, 11, 38 |
| 17, 65, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 17 x 65 x 11 x 2 = 41570100
Therefore, the lowest common multiple of 969,975,990,684 is 41570100.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
969 x 975 x 990 x 684 = 639763839000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
969 : 1, 3, 17, 19, 51, 57, 323, 969
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,975,990,684, is 3.
Now, the common factors can be found like this.
969:3x 17x 19
975:3x 5x 5x 13
990:2x 3x 3x 5x 11
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 19 = 5130
Therefore, the value for common factors is 5130.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 639763839000/(3x5130)
LCM = 639763839000/15390
LCM = 41570100
Thus, we can understand that the LCM of 969,975,990,684 is 41570100.
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FAQs on LCM of 969, 975, 990, 684
1. What is the LCM of 969, 975, 990, 684?
Answer: LCM of 969, 975, 990, 684 is 41570100.
2. How to calculate the LCM of 969, 975, 990, 684?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 969, 975, 990, 684.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.